Teaching multi-digit division
Concrete: students use base-10 blocks and place-value charts to make groups. Next, students use tokens representing ones, tens, hundreds, and thousands and place-value charts to make groups. Students make “exchanges.”
Pictorial: students use place-value charts and draw the tokens to make groups. Students may also use the “make groups” strategy with these large numbers.
Place Value Chart (concrete and pictorial)
125 divided by 3 = ?
Start with 125:
100 needs to make 3 groups, so students exchange 100 for 10 tens. Now students have a new group of 12 tens.
Now students can put the 12 tens into 3 equal groups:
Last, the ones must be put into 3 equal groups. However, 2 ones cannot be put into equal groups. They go off to the side, and are called the “remainder.”
Therefore, 125 divided by 3 = 41 with remainder 2.